Iteration processes for approximating fixed points of operators of monotone type

DOI10.1017/S0004972700031853zbMath0910.47049MaRDI QIDQ4209920

Kok-Keong Tan, Shi Sheng Zhang

Publication date: 7 February 1999

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

fixed pointsuniformly smooth Banach spacesMann and Ishikawa iteration processesoperators of monotone typeoperators on convex sets

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Set-valued operators (47H04)

Related Items

Iteration processes for approximating fixed points of operators of monotone type ⋮ A random fixed point iteration for three random operators on uniformly convex Banach spaces ⋮ On the convergence problems of Ishikawa and Mann iterative processes with error for \(\Phi\)-pseudo contractive type mappings ⋮ Mann and Ishikawa iterative approximation of solutions for \(m\)-accretive operator equations

Cites Work

• Iterative solutions to nonlinear equations of strongly accretive operators in Banach spaces
• Stable iteration procedures for strong pseudo-contractions and nonlinear operator equations of the accretive type
• Iterative solution of nonlinear equations with strongly accretive operators
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Approximation of Fixed Points of Strongly Pseudocontractive Mappings
• Some problems and results in the study of nonlinear analysis
• Iterative approximation of Lipschitz strictly pseudocontractive mappings in uniformly smooth Banach spaces
• Iterative construction of fixed points for multivalued operators of the monotone type
• Iterative construction of fixed points for multivalued operators of the monotone type

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